The operator space analogue of the strong form of the principle of local reflexivity is shown to hold for any von Neumann algebra predual, and thus for any C*-algebraic dual. This is in striking contrast to the situation for C*-algebras, since, for example, K(H) does not have that property. The proof uses the Kaplansky density theorem together with a careful analysis of two notions of integrality for mappings of operator spaces.
|Original language||English (US)|
|Number of pages||34|
|Journal||Annals of Mathematics|
|State||Published - Jan 2000|
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty